Step-by-step explanation:
<u>Statement Reason </u>
∠5 and ∠7 are vertical angles Vertical angles theorem
m∠5 = m∠7 Definition of vertical angles
m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given
-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality
-6x + 8 = 3x - 9 - 1 Distributive property
3x + 6x = 8 + 10 Addition property
9x = 18 Addition property
x = 18/9 Division property
x = 2 Proved
Answer:
Height of skyscraper's model = 5 feet
Step-by-step explanation:
Given:
Height of skyscraper = 1,450 feet
Scale model ratio = 1:290
Find:
Height of skyscraper's model.
Computation:
Height of skyscraper's model = Height of skyscraper × Scale model ratio
Height of skyscraper's model = 1,450 × (1/290)
Height of skyscraper's model = 5 feet
Answer:
9/20
Step-by-step explanation:
1/3 * 3/5 * 2 1/4 =
1/3 * 3/5 * 9/4=
1/5 * 9/4 =
9/20
1/40,000 = h/10
40,000h = 10
h = 10/40,000
h = 1/4,000
